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sattari [20]
3 years ago
12

What is the average rate of change of the function over the interval x = 0 to x = 8?

Mathematics
1 answer:
goblinko [34]3 years ago
8 0

Answer:

-13/400

Step-by-step explanation:

The pertinent formula is

                             change in f(x) over [a, b]        f(8) - f(0)

a. r. of change = --------------------------------------- = ----------------

                              change in x over [a, b]               8 - 0

Continuing these calculations, we get:

                               2(8) - 2              2(0) - 2        14/8           -2/8

                     (1/8) -------------- - (1/8) ------------- = -----------  -  -----------

                                5(8) - 6              5(0) - 6       40 - 6           -6

                         

                                                                                7/4       1/4

This simplifies to    average rate of change =      ------- - --------

                                                                                  34         6

                                                                                    7                 1

                                                                          =   ------------- - ---------- = -13/400

                                                                                   136             24

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Step-by-step explanation:

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Answer:

Margaret paid 12.84 less for bags of apples this week compared to last week.

Step-by-step explanation:

Given:

Cost of per bag of apples last week = 3.99

Cost of per bag of apples this week = 3.39

Number of bags of apples bought = 20

Now First we will find the Cost of 20 Apples bags last week.

Cost of 20 Apple bags last week can be calculated by Multiplying Cost of per bag of apples last week with number of bags of apples bought.

framing the equation we get;

Cost of 20 Apple bags last week = 20\times3.99= 79.8

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Amount of money paid in sales tax last week = 7% ×Cost of 20 Apple bags last week = \frac{7}{100}\times79.8 \approx5.59

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Now we will find the Cost of 20 Apples bags this week.

Cost of 20 Apple bags this week can be calculated by Multiplying Cost of per bag of apples this week with number of bags of apples bought.

framing the equation we get;

Cost of 20 Apple bags this week = 20\times3.39= 67.8

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framing in equation form we get;

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Difference = 85.39 - 72.55 = 12.84

Hence Margaret paid 12.84 less for bags of apples this week compared to last week.

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